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If ΔXYZ ∼ ΔABC, XY = 12 cm, YZ = 16 cm and AB = 21 cm, then find BC.
1. 35
2. 28
3. 24
4. 40

1 Answer

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Best answer
Correct Answer - Option 2 : 28

Given:

ΔXYZ ∼ ΔABC

XY = 12 cm, YZ = 16 cm and AB = 21 cm

Concept used:

If, ΔXYZ ∼ ΔABC, then

(XY/AB) = (YZ/BC) = (ZX/CA)

Calculation:

According to the question, we have

ΔXYZ ∼ ΔABC

⇒ (XY/AB) = (YZ/BC)

⇒ 12/21 = 16/BC

⇒ BC = (21 × 16)/12

⇒ BC = 28

∴ The value of BC is 28 cm

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